Evaluate (80/25)÷(-2/3)

$\frac{80}{25} \div (- \frac{2}{3})$

To divide by a fraction, multiply by its reciprocal.

$\frac{80}{25} (- \frac{3}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$\frac{80}{25} \cdot \frac{- 3}{2}$

Factor $2$ out of $80$ .

$\frac{2 (40)}{25} \cdot \frac{- 3}{2}$

Cancel the common factor.

$\frac{2 \cdot 40}{25} \cdot \frac{- 3}{2}$

Rewrite the expression.

$\frac{40}{25} \cdot - 3$

Combine $\frac{40}{25}$ and $- 3$ .

$\frac{40 \cdot - 3}{25}$

Multiply $40$ by $- 3$ .

$\frac{- 120}{25}$

Cancel the common factor of $- 120$ and $25$ .

Factor $5$ out of $- 120$ .

$\frac{5 (- 24)}{25}$

Cancel the common factors.

Factor $5$ out of $25$ .

$\frac{5 \cdot - 24}{5 \cdot 5}$

Cancel the common factor.

$\frac{5 \cdot - 24}{5 \cdot 5}$

Rewrite the expression.

$\frac{- 24}{5}$

Move the negative in front of the fraction.

$- \frac{24}{5}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{24}{5}$

Decimal Form:

$- 4.8$

Mixed Number Form:

$- 4 \frac{4}{5}$